Question

A and B invested Rs. 10,000 and Rs. 12,000 respectively in a business. B left the business with his money after 8 months. At the end of the first year, they earned a profit of Rs. 8100. What is B's share?
1. Rs. 5,400
2. Rs. 4,500
3. Rs. 3,200
4. Rs. 3,600

Answer 1

Correct Answer - Option 4 : Rs. 3,600

Given:

A's investment = Rs. 10,000

B's investment = Rs. 12,000

Total profit = Rs. 8100

Concept used:

Divide the total profit according to investment ratio.

Calculations:

The total investment of A in 12 months = 10000 × 12

The total investment of B in 8 months = 12000 × 8

The ratio of equivalent capitals of A and B for 1 month = (10000 × 12) ∶ (12000 × 8) = 5 ∶ 4

B’s share = 8100 × 4/9 = Rs. 3,600

∴ The share of B is Rs. 3,600.